Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(Γ0(1960)).
|
Total |
New |
Old |
Modular forms
| 368 |
41 |
327 |
Cusp forms
| 305 |
41 |
264 |
Eisenstein series
| 63 |
0 |
63 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
2 | 5 | 7 | Fricke | | Total | | Cusp | | Eisenstein |
---|
All | New | Old | All | New | Old | All | New | Old |
---|
+ | + | + | + | | 44 | 5 | 39 | | 37 | 5 | 32 | | 7 | 0 | 7 |
+ | + | − | − | | 47 | 6 | 41 | | 39 | 6 | 33 | | 8 | 0 | 8 |
+ | − | + | − | | 48 | 7 | 41 | | 40 | 7 | 33 | | 8 | 0 | 8 |
+ | − | − | + | | 45 | 3 | 42 | | 37 | 3 | 34 | | 8 | 0 | 8 |
− | + | + | − | | 48 | 4 | 44 | | 40 | 4 | 36 | | 8 | 0 | 8 |
− | + | − | + | | 45 | 6 | 39 | | 37 | 6 | 31 | | 8 | 0 | 8 |
− | − | + | + | | 44 | 4 | 40 | | 36 | 4 | 32 | | 8 | 0 | 8 |
− | − | − | − | | 47 | 6 | 41 | | 39 | 6 | 33 | | 8 | 0 | 8 |
Plus space | + | | 178 | 18 | 160 | | 147 | 18 | 129 | | 31 | 0 | 31 |
Minus space | − | | 190 | 23 | 167 | | 158 | 23 | 135 | | 32 | 0 | 32 |
Decomposition of S2new(Γ0(1960)) into newform subspaces
Decomposition of S2old(Γ0(1960)) into lower level spaces